The model of continuous spontaneous localization (CSL) is the most prominent
consistent modification of quantum mechanics predicting an objective
quantum-to-classical transition. Here we show that precision interferometry
with Bose-Einstein condensed atoms can serve to lower the current empirical
bound on the localization rate parameter by six orders of magnitude. This works
by focusing on the atom count distributions rather than just mean population
imbalances in the interferometric signal of squeezed BECs, without the need for
preparing highly entangled states. We discuss experimentally realistic
measurement schemes which could probe and potentially rule out the entire
relevant parameter space of CSL, including the historic values proposed by
Ghirardi, Rimini, and Weber, below which CSL is no longer deemed a viable
solution to the measurement problem of quantum mechanics.Comment: 7 pages, 1 figure, 1 tabl